Three Dimensional de Sitter Gravity and the Correspondence

TL;DR

This paper explores three-dimensional de Sitter gravity, focusing on the boundary conformal symmetry and how boundary observables relate to spacetime properties like angular momentum, with insights into holonomies and isometry groups.

Contribution

It establishes a correspondence between gravity observables and boundary conformal weights, revealing that non-real weights indicate non-zero angular momentum in the spacetime.

Findings

Non-real conformal weights correspond to angular momentum

Holonomies and isometry groups play a role in the boundary correspondence

Insights into the structure of de Sitter space in three dimensions

Abstract

Certain aspects of three dimensional asymptotically de Sitter spaces are studied, with emphasis on the mapping between gravity observables and the representation of the conformal symmetry of the boundary. In particular, we show that non-real conformal weights for the boundary theory correspond to space-times that have non-zero angular momentum. Some miscellaneous results on the role of the holonomies and isometry groups are also presented.